218967808 has 36 divisors (see below), whose sum is σ = 439075728. Its totient is φ = 108984320.

The previous prime is 218967779. The next prime is 218967809. The reversal of 218967808 is 808769812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218967809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57813 + ... + 61483.

It is an arithmetic number, because the mean of its divisors is an integer number (12196548).

Almost surely, 2^218967808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218967808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219537864).

218967808 is an abundant number, since it is smaller than the sum of its proper divisors (220107920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218967808 is an equidigital number, since it uses as much as digits as its factorization.

218967808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 218967808 is about 14797.5608800910. The cubic root of 218967808 is about 602.7354799994.

The spelling of 218967808 in words is "two hundred eighteen million, nine hundred sixty-seven thousand, eight hundred eight".